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Izvestiya: Mathematics, 2021, Volume 85, Issue 2, Pages 262–278
DOI: https://doi.org/10.1070/IM9000 (Mi im9000) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Positive solutions of superlinear elliptic problems with discontinuous non-linearities

V. N. Pavlenkoa, D. K. Potapovb

a Chelyabinsk State University
b Saint Petersburg State University
English version PDF (540 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM9000
Abstract: We consider an elliptic boundary-value problem with a homogeneous Dirichlet boundary condition, a parameter and a discontinuous non-linearity. The positive parameter appears as a multiplicative term in the non-linearity, and the problem has a zero solution for any value of the parameter. The non-linearity has superlinear growth at infinity. We prove the existence of positive solutions by a topological method.
Keywords: superlinear elliptic problem, parameter, discontinuous non-linearity, positive solution, topological method.
Received: 14.12.2019
Revised: 14.07.2020
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35J61, 35J25, 35B09, 35A01
Language: English
Original paper language: Russian
Citation: V. N. Pavlenko, D. K. Potapov, “Positive solutions of superlinear elliptic problems with discontinuous non-linearities”, Izv. Math., 85:2 (2021), 262–278
Citation in format AMSBIB
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\by V.~N.~Pavlenko, D.~K.~Potapov
\paper Positive solutions of superlinear elliptic~problems with discontinuous non-linearities
\jour Izv. Math.
\yr 2021
\vol 85
\issue 2
\pages 262--278
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\crossref{https://doi.org/10.1070/IM9000}
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  • https://www.mathnet.ru/eng/im/v85/i2/p95
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:361
    Russian version PDF:71
    English version PDF:28
    Russian version HTML:120
    References:52
    First page:12
     
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